2772445520880 has 800 divisors, whose sum is σ = 12028013015040. Its totient is φ = 577180753920.

The previous prime is 2772445520791. The next prime is 2772445520917. The reversal of 2772445520880 is 880255442772.

It is a happy number.

2772445520880 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 4 + 4 + 552 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23846731 + ... + 23962709.

Almost surely, 2^{2772445520880} is an apocalyptic number.

2772445520880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772445520880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014006507520).

2772445520880 is an abundant number, since it is smaller than the sum of its proper divisors (9255567494160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2772445520880 is a wasteful number, since it uses less digits than its factorization.

2772445520880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116059 (or 116044 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 2772445520880 in words is "two trillion, seven hundred seventy-two billion, four hundred forty-five million, five hundred twenty thousand, eight hundred eighty".